While her ex-husband hit the town Monday night, Katie Holmes celebrated her 34th birthday with her current main squeeze — daughter Suri Cruise — over breakfast at Sugar and Plumm on the Upper West Side. The “Dead Accounts” star popped into the bakery Tuesday morning for breakfast with her daughter and a young pal of Suri’s, and the trio ordered silver-dollar pancakes and eggs Benedict. After breakfast, Holmes was brought a homemade vanilla sponge cake layered with strawberry jam and vanilla buttercream with frosting that spelled out “Happy Birthday Katie.” A spy told us: “When the staff brought the cake out with a sparkler, Suri, 6, and her friend sang ‘Happy Birthday,’ and the two girls helped the pastry chef cut the cake and plate it.” Mom and daughter also hit the Metropolitan Museum of Art.